Which rule describes the transformations applied in the figure above?

Answer:
The correct answer is the third option (x, y) => (2x - 10, 2y)
Explanation:
The points that form the figure ABC are:
A = (2, 7)
B = (1, 2)
C = (3, 4)
If we apply the transformation: (x, y) => (2x - 10, 2y)
[tex]A=(2,7)\rightarrow A^{\prime}=(2\cdot2-10,2\cdot7)=(-6,14)[/tex][tex]B=(1,2)\rightarrow B^{\prime}=(2\cdot1-10,2\cdot2)=(-8,4)[/tex][tex]C=(3,4)\rightarrow C^{\prime}=(2\cdot3-10,2\cdot4)=(-4,8)[/tex]Which coincides with the points that form the triangle A'B'C'.
Thus, the correct option is the third one